To reduce algebraic fractions, be sure to factor first and then
cancel, and be careful about canceling terms that are being added and
not multiplied, a very common mistake for students starting algebra.

A student wonders whether the labels "undefined" and "indeterminate form" could
apply to one and the same expression. Doctor Vogler considers several expressions,
functions, and limits to distinguish the different contexts that call for such terminology.

A student struggles with a word problem that asks for specific sums of counting
numbers. Three different doctors weigh in with increasingly sophisticated and
comprehensive problem-solving approaches: programming spreadsheet formulas;
applying combinatorics; and invoking quadratic Diophantine and Pell equations.

Why is it necessary to use order of operations? Why can't you just
write a calculation from left to right, so 5+2^3*2 is just 2^3*2+5?
Doctor Peterson shows how order of operations makes writing and
understanding algebraic expressions quite simple.